Problem Specification — Lesson 1

Problem Specification

Consider fluid flowing through a cylindrical pipe of diameter D = 0.0127 m and length L = 5D = 0.0635 m. The bulk velocity at the pipe inlet is U_{bulk =} 6.58 m/s. Let us consider the case where the density of the fluid is constant. Take density ρ = 1.331 kg/m³ and coefficient of viscosity µ = 2.34 x 10^-5 kg/(ms). The Reynolds number, Re, based on the pipe diameter and the bulk velocity is

$\text{Re} = \frac{\rho U_{\text{bulk}}D}{\mu} \approx 4750$

Solve the above fluid flow problem using the LES capability in Ansys Fluent via Ansys Workbench. Plot the mean and the root mean square velocities versus the radial distance at a particular x/D downstream of the inlet. Compare the mean velocity obtained from the LES simulation with the mean velocity obtained using the k-ε model.